计算机科学
算法
多项式的
二进制数
可验证秘密共享
离散数学
理论计算机科学
数学
算术
程序设计语言
数学分析
集合(抽象数据类型)
作者
Feiting Guan,Jun Guo,Lele Li
出处
期刊:Laser Physics
[IOP Publishing]
日期:2023-10-31
卷期号:33 (12): 125202-125202
标识
DOI:10.1088/1555-6611/ad04c2
摘要
Abstract Threshold quantum secret sharing is a typical method for quantum secret sharing (QSS) schemes. In this paper, we propose a verifiable t , n threshold QSS scheme based on the d -dimensional Bell state and asymmetric binary polynomial. In this scheme, the dealer encodes the secret using the asymmetric binary polynomial and generates the corresponding secret share for each participant. Then, the dealer prepares the d -dimensional Bell state, and the participants perform corresponding unitary operations on the particles in transmission to recover the secret. With the hash function and the session key pairs, not only the cheating behavior of the dishonest participants can be detected, but also the specific cheaters can be identified. Furthermore, we consider the case when no less than t participants cooperate to recover the secret, which makes the proposed scheme more practical. Analyses show that the scheme can resist forgery attack, collusion attack and other common attacks.
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